A159888 Numbers congruent to {-5,29,39,41,43,45,55,57,59,93,103,105,107,109,119,121} mod 256.

29, 39, 41, 43, 45, 55, 57, 59, 93, 103, 105, 107, 109, 119, 121, 251, 285, 295, 297, 299, 301, 311, 313, 315, 349, 359, 361, 363, 365, 375, 377, 507, 541, 551, 553, 555, 557, 567, 569, 571, 605, 615, 617, 619, 621, 631, 633, 763, 797, 807, 809, 811, 813, 823, 825

Offset: 1

Author

Philippe Deléham, Apr 25 2009

Keywords

• nonn
• easy

Comments

When will this first differ from A159887, the trajectory of 29 under repeated application of the map n -> A102370(n)?

A bound on the sequences starting to differ is when the appearance of 2^135 - 135 here is followed by 2^135 - 5. This is because A102370(2^135 - 135) = 2^136 - 5. - Peter Munn, Jan 12 2024

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000
• David Applegate, Benoit Cloitre, Philippe Deléham and N. J. A. Sloane, Sloping binary numbers: a new sequence related to the binary numbers, J. Integer Seq. 8 (2005), no. 3, Article 05.3.6, 15 pp.
• Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1).
• Index entries for sequences which agree for a long time but are different

Crossrefs

Cf. A102370, A159887.

Programs

Magma

[n: n in [1..1000] | n mod 256 in [-5,29,39,41, 43,45,55,57,59,93,103,105,107,109,119,121,251]]; // Vincenzo Librandi, Mar 11 2014

Mathematica

Select[Range[900],MemberQ[{29, 39, 41, 43, 45, 55, 57, 59, 93, 103, 105, 107, 109, 119, 121, 251}, Mod[#, 256]]&] (* Harvey P. Dale, Mar 09 2014 *)
LinearRecurrence[{1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1},{29,39,41,43,45,55,57,59,93,103,105,107,109,119,121,251,285},55] (* Ray Chandler, Jul 15 2015 *)

Extensions

Corrected by Harvey P. Dale, Mar 09 2014

Edited by Peter Munn, Dec 06 2023